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A different approach has been used to evaluate the momentum imparted by the gravitational waves with spherical wavefronts. It is shown that the results obtained for momentum coincide with those already available in the literature.

General Relativity and Quantum Cosmology · Physics 2010-11-11 M. Sharif

This document proposes data formats to exchange numerical relativity results, in particular gravitational waveforms. The primary goal is to further the interaction between gravitational-wave source modeling groups and the gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2011-02-28 P. Ajith , M. Boyle , D. A. Brown , S. Fairhurst , M. Hannam , I. Hinder , S. Husa , B. Krishnan , R. A. Mercer , F. Ohme , C. D. Ott , J. S. Read , L. Santamaria , J. T. Whelan

We study the tensorial modes of the two-fluid model, where one of this fluids has an equation of state $p = - \rho/3$ (variable cosmological constant, cosmic string fluid, texture) or $p = - \rho$ (cosmological constant), while the other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. Fabris , S. V. B. Goncalves

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

An overview of the searches for continuous gravitational wave signals in LIGO and GEO 600 performed on different recent science runs and results are presented. This includes both searching for gravitational waves from known pulsars as well…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alicia M Sintes

We write the equation of geodesic deviations in the spacetime of $pp$-waves in terms of the Newman-Penrose scalars and apply it to study gravitational waves in quadratic curvature gravity. We show that quadratic curvature gravity $pp$-waves…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Edgard C. de Rey Neto

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes

We derive new exact gravitational wave solutions with dynamical torsion and nonmetricity tensors in the framework of cubic Metric-Affine Gravity (MAG). For this purpose, we consider the full algebraic classification of the gravitational…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Sebastian Bahamonde , Jorge Gigante Valcarcel , José M. M. Senovilla

Bialynicki-Birula and Charzynski argued that a gravitational wave emitted during the merger of a black hole binary may be approximated by a circularly polarized wave which may in turn trap particles [1]. In this paper we consider particle…

General Relativity and Quantum Cosmology · Physics 2025-05-19 P-M. Zhang , M. Elbistan , P. A. Horvathy

We derive the exact gravitational wave solutions in a general class of quadratic Poincar\'e gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion and the curvature, including…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Yuri N. Obukhov

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G A Alekseev , J B Griffiths

We consider the gravitational radiation in conformal gravity theory. We perturb the metric from flat Mikowski space and obtain the wave equation after introducing the appropriate transformation for perturbation. We derive the effective…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Rong-Jia Yang

We provide analysis to determine the effects of gravitational waves on electromagnetic waves, using perturbation theory in general relativity. Our analysis is performed in a completely covariant manner without invoking any coordinates. For…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Chan Park , Dong-Hoon Kim

We consider the scattering of a low-frequency gravitational wave by a massive compact body in vacuum. We apply partial-wave methods to compute amplitudes for the helicity-conserving and helicity-reversing contributions to the cross section,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

We consider the geodesic equation in impulsive pp-wave space-times in Rosen form, where the metric is of Lipschitz regularity. We prove that the geodesics (in the sense of Caratheodory) are actually continuously differentiable, thereby…

General Relativity and Quantum Cosmology · Physics 2014-02-24 Alexander Lecke , Roland Steinbauer , Robert Svarc

The gauge problem arises in the second order gravitational waves due to the mode mixing. Here, we introduce the transverse-traceless (TT) gauge to cosmological backgrounds, and find that if we choose the TT gauge at first order, the second…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Yadong Xue , Zhoujian Cao

We propose a geometrical approach to the mechanics of continuous media equipped with inner structures and give the basic (mass conservation, Navier-Stokes and energy conservation) equations of their motion.

Mathematical Physics · Physics 2020-05-13 Anna Duyunova , Valentin Lychagin , Sergey Tychkov

We discuss the detectability of gravitational waves with a time dependent mass contribution, by means of the stochastic gravitational wave observations. Such a mass term typically arises in the cosmological solutions of massive gravity…

High Energy Physics - Theory · Physics 2012-12-13 A. Emir Gumrukcuoglu , Sachiko Kuroyanagi , Chunshan Lin , Shinji Mukohyama , Norihiro Tanahashi

The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They involve a new term which might be non-local. The difficulty…

General Relativity and Quantum Cosmology · Physics 2025-05-20 K. Andrzejewski , N. Dimakis , M. Elbistan , P. A. Horvathy , P. Kosinski , P. -M. Zhang

This article, produced as part of an undergraduate research class, aims to provide an overview of gravitational waves, though it does not offer a comprehensive review. We begin with a brief discussion regarding the history of gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Chris Jia
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